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Finding the Fourth Proportional to 32,417.76, 48,634.84 and 9,044.18

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Solution

The fourth proportional to 32,417.76, 48,634.84 and 9,044.18 is: 13,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.76 : 48,634.84 = 9,044.18 : x
  2. Step 2: Convert to fraction form
    32,417.76/48,634.84 = 9,044.18/x
  3. Step 3: Cross multiply
    32,417.76x = 48,634.84 × 9,044.18
  4. Step 4: Simplify right side
    32,417.76x = 439,862,247.23
  5. Step 5: Solve for x
    x = 439,862,247.23/32,417.76
  6. Step 6: Final answer
    x = 13,568.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.